Szpilrajn type theorem for concentration dimension

Jozef Myjak; Tomasz Szarek

Fundamenta Mathematicae, Tome 173 (2002), p. 19-25 / Harvested from The Polish Digital Mathematics Library

Résumé

Let X be a locally compact, separable metric space. We prove that $d i m_{T} X = i n f d i m_{L} X^{'} : X^{'} i s h o m e o m o r p h i c t o X$ , where $d i m_{L} X$ and $d i m_{T} X$ stand for the concentration dimension and the topological dimension of X, respectively.

Publié le : 2002-01-01

Zbl 0994.37011

EUDML-ID : urn:eudml:doc:283142

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     author = {Jozef Myjak and Tomasz Szarek},
     title = {Szpilrajn type theorem for concentration dimension},
     journal = {Fundamenta Mathematicae},
     volume = {173},
     year = {2002},
     pages = {19-25},
     zbl = {0994.37011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm172-1-2}
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Jozef Myjak; Tomasz Szarek. Szpilrajn type theorem for concentration dimension. Fundamenta Mathematicae, Tome 173 (2002) pp. 19-25. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm172-1-2/